Question

का मान ज्ञात कजिए
3 The ratio of Meena's age to the age of her mother is 3:8. The difference of their ages is 35 years. What will be
the ratio of their ages after 4 years?
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Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Ratio of meena's age to her mothers age = 3 :8
• Diff. btw their age = 35

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Ratio of their age after 4 years

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

• let the present age of meena be 3x
• let the present age of meena's mother be 8x

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ATQ :-

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Diff. btw their age = 35

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8x - 3x = 35

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5x = 35

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x = 35 / 5

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x = 7

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• Ratio of their ages after 4 years

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After 5 years meena's age = 3x + 4

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After 5 years meena's mummy's age = 8x + 4

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$: \implies\: \sf{\bold{ Required\: ratio = \dfrac{Meena's \:age }{Meena's \: mother's \: age} }}$

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$: \implies\: \sf{\bold{ Required\: ratio = \dfrac{3x + 4 }{8x + 4 } }}$

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• putting value of x

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$: \implies\: \sf{\bold{ Required\: ratio = \dfrac{3\times 7 + 4 }{8\times 7+ 4 } }}$

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$: \implies\: \sf{\bold{ Required\: ratio = \dfrac{21 + 4 }{ 56 + 4 } }}$

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$: \implies\: \sf{\bold{ Required\: ratio = \dfrac{25 }{60} }}$

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$: \implies\: \sf{\bold{ Required\: ratio = \dfrac{5 }{12 } }}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Required ratio = 5 : 12